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Math Help - Is my answer correct?

  1. #1
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    Is my answer correct?

    Question: Evaluate limx->0 [(1/3+x)-(1/3) / (x)]
    Possible answers:
    a) -1/9
    b) 0
    c) 1/9
    d) does not exist

    I believe the answer is a. Is this right?
    Any help is appreciated.
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  2. #2
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    That's correct.
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  3. #3
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    Assuming that you mean lim(x->0) (1/(3+x))-(1/3))/x (notice the additional parentheses), then, yes, 1/9 is correct.

    But I first interpreted his as lim(x->0) ((1/3)+ x)- (1/3))/x and that has a limit of 1. Which did you mean?
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